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2 years ago

The athlete jogged a distance of 4850 yards in 20 minutes. What is the time needed to cover 9215 yards at the same rate?

Mathematics

1 answer:

sertanlavr [38]2 years ago

3 0

Answer:

38 minutes

Step-by-step explanation:

Yards covered in a minute = 4850/20 = 242.5

Time needed to cover 9215 yards = 9215/242.5 = 38 min

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The face of the triangular concrete panel shown has an area of 22 square meters, and its base is 3 meters longer than twice its

Elodia [21]

Answer:

The length of the base is 11 meters.

Step-by-step explanation:

The diagram of the triangle is not shown; However, the given details are enough to solve this question.

Given

Shape: Triangle

Represent the height with h and the base with b

$b = 3 + 2h$

$Area = 22$

Required

Find the length of the base

The area of a triangle is calculated as thus;

$Area = \frac{1}{2} * b * h$

Substitute 22 for Area and 3 + 2h for b

The formula becomes

$22 = \frac{1}{2} * (3 + 2h) * h$

Multiply both sides by 2

$2 * 22 = 2 * \frac{1}{2} * (3 + 2h) * h$

$44 = (3 + 2h) * h$

Open the bracket

$44 = 3 * h + 2h * h$

$44 = 3h + 2h^2$

Subtract 44 from both sides

$44 - 44 = 3h + 2h^2 - 44$

$0 = 3h + 2h^2 - 44$

Rearrange

$0 = 2h^2 +3h - 44$

$2h^2 +3h - 44 = 0$

At this point, we have a quadratic equation; which is solved as follows:

$2h^2 +3h - 44 = 0$

$2h^2 + 11h - 8h - 44 = 0$

$h(2h + 11) - 4(2h + 11) = 0$

$(h - 4)(2h + 11) = 0$

Split the above

$(h - 4) = 0\ or\ (2h + 11) = 0$

$h - 4 = 0\ or\ 2h + 11 = 0$

Solve the above linear equations separately

$h - 4 = 0$

Add 4 to both sides

$h - 4 + 4 = 0 + 4$

$h = 0 + 4$

$h = 4$ ---- First value of h

$2h + 11 = 0$

Subtract 11 from both sides

$2h + 11 - 11 = 0 - 11$

$2h = 0 - 11$

$2h = -11$

Divide both sides by 2

$\frac{2h}{2} = -\frac{11}{2}$

$h = -\frac{11}{2}$ ------ Second value of h

Since height can be negative, we'll discard $h = -\frac{11}{2}$

Hence, the usable value of height is $h = 4$

Recall that $b = 3 + 2h$

Substitute 4 for h

$b = 3 + 2(4)$

$b = 3 + 8$

$b = 11$

Hence, the length of the base is 11 meters

3 0

3 years ago

Determine whether the first phrase is a subset of the second phrase, or the second phrase is a subset of the first phrase, or ne

S_A_V [24]

Answer:

Kindly check explanation

Step-by-step explanation:

A subset simply refers to a set whose elements are all members of a larger set.

Going by the definition :

The set of people born in the U.S is a subset of the set of people who are U. S citizens because citizenship in the U. S is not only attained by birth.

The set of Java students are all members of the set containing students studying a programming language, hence, The set of students studying Java is a subset of the set of students studying a programming language because Java is just one of the many different types of programming languages

{FISH_IN_OCEAN} is a subset of of the set of animals living in Ocean because not only fishes live in the ocean, fish is just one of the diverse marine animals that exist.

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3 years ago

We want to find the zeros of this polynomial Graph the zeros

mote1985 [20]

Answer:

intersection of the y axis

7 0

3 years ago

I made my own tricky math question. But I don't know if its tricky for you. Amelia has 1 notebook on her desk, she put her noteb

fomenos

Answer:

1 thing, her pouch

Step-by-step explanation:

you sayed that she took her notebook away and the only thing onher desk is her pouch

5 0

3 years ago

What is the area of this shape?

stepan [7]

Answer:

10 I think

Step-by-step explanation:

well we add it all together 2+1+3+4

7 0

3 years ago

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